Answer:
the next two terms are 49, 60
Answer:
49, 60
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence.
16 - 5 = 27 - 16 = 38 - 27 = 11
Thus to obtain the next term, add 11 to the previous term, that is
38 + 11 = 49
49 + 11 = 60
if the measure of an angle is 44 degrees , then the angle is acute which is true the converse the inverse the contrapositive none of these
HELP PLEASE!!!!!!!!!!!
bruh what is (-4×-6)-4²
Answer:
8
Step-by-step explanation:
the anwser is you use the formal
Three to the 4th power
solve for the equation 4x+5=9
Answer:
1
Step-by-step explanation:
What are the values of a and b on the number line?
Answer:
B is the answer
Step-by-step explanation:
Peter leaves Mitchell's house traveling 30 mph. Mitchell leaves 15 min later, trying to catch up to peter, going 40 mph, if they drive along the same route how long will it take Mitchell to catch Peter?
Given :
Peter velocity , P = 30 mph .
Mitchell velocity , M = 40 mph .
Mitchell leaves 15 min later .
To Find :
If they drive along the same route how long will it take Mitchell to catch Peter.
Solution :
Distance covered by Peter in 15 min .
[tex]D = 30\times \dfrac{15}{60}=7.5\ miles[/tex]
Let , time taken is x .
So , distance covered b them is equal :
[tex]7.5+30\times x=40\times x\\\\x=\dfrac{7.5}{10}=0.75\ hours\\\\x=0.75\times 60\ min\\\\x=45\ min[/tex]
Therefore , time taken by them is 45 minutes .
Hence , this is the required solution .
if it is 9:36 pm what time would it be a hour and a half later
Answer:
an hour would make it 10, then another 30 minutes added to the 30 would make it 11, so 11:06 pm
Step-by-step explanation:
When 19346 is divided by a number,the quotient is 841 and the remainder is 3.What is the number?
Answer:
23
Step-by-step explanation:
19346 ÷ 841 = 23.003567.. ( that is 23 with a remainder ), then
23 × 841 = 19343, thus
19346 ÷ 841 = 23 remainder 3
The divisor is 23
which diagram (s)show adjacent angles
1. 3x + y = 4
I need help I need to solve for y
Answer:
[tex]y=4-3x[/tex]
Step-by-step explanation:
[tex]3x+y=4[/tex]
Subtract 3x from both sides:
[tex]3x+y-3x=4-3x[/tex]
[tex]y=4-3x[/tex]
Answer:
its answer is
y=4-3x ok
What is the standard form polynomial representing the volume of this shipping container?
6x + 15
4x² + 3x
x² – 8
Answer:
Step-by-step explanation:
Volume of the shipping container = Lengt * Breadth * Height
Given
Length = 4x² + 3x
Breadth = x² – 8
Height = 6x +15
Volume of the container = ( 4x² + 3x)( x² - 8)(6x+15)
( 4x² + 3x)( x² - 8) = 4x⁴-32x²+3x³-24x
( 4x² + 3x)( x² - 8) = 4x⁴+3x³-32x²-24x
(4x⁴+3x³-32x²-24x)(6x+15) = 24x⁵+60x⁴+18x⁴+45x³-192x³-480x²-144x²-360x
Collect like terms
( 4x² + 3x)( x² - 8)(6x+15) = 24x⁵+78x⁴-147x³-624x²-360x
Hence the standard form polynomial representing the volume of this shipping container is expressed as V = 24x⁵+78x⁴-147x³-624x²-360x
Answer:
V = 24x^5+78x^4-147x^3-624x^2-360x
Matt is four years younger than twice his cousin Andy’s age. The sum of their ages is greater than 35. What is the youngest age that Andy can be?
Answer: 13
Step-by-step explanation:
let m = Matt's age
let a = Andy's
:
Write an equation for each statement
:
Matt is four years younger than twice his cousin Andy’s age.
m = 2a - 4
The sum of their ages is greater than 35.
m + a > 35
What is the youngest age that Andy can be?
replace m with (2a-4) from the 1st statement
2a - 4 + a > 35
3a > 35 + 4
a > 39/3
a > 13
least integer has to be a = 14
:
:
Check, find m
m = 2(14) - 4
m = 24
24 + 14 = 38 greater than 35
If a = 13
m = 2(13) - 4
m = 22
22 + 13 = 35 which is not greater than 35
A rectangular rug has
perimeter 240 inches. The length is 12 inches more than twice the width. Find the length and width
of the rug.
Answer:
length= 84
width= 36
find the length and breadth of a rectangular plot whose area is 660square metre and perimeter is 104metre
Answer:
Step-by-step explanation:
let length=l
breadth=b
l×b=660
2(l+b)=104
l+b=104/2=52
b=52-l
l×(52-l)=660
52l-l²=660
l²-52l+660=0
l²-22l-30l+660=0
l(l-22)-30(l-22)=0
(l-22)(l-30)=0
l=22,30
when l=22,b=52-22=30
when l=30,b=52-30=22
l>b
so l=30m
b=22m
Answer:
W = 22 m
L = 30 m
Step-by-step explanation:
given:
area is 660square metre and perimeter is 104metre
find:
the length and breadth of a rectangular plot
----------------------------------------------------------------
1. area of rectangle (A) = L x W
2. Perimeter of a rectangle (P) = 2L + 2W
where:
A = 660 m²
P = 104 m
solve for L using formula 1.
A = L x W
660 = L x W
L = 660 / W
solve W using formula 2 and use L = 660 / W
P = 2L + 2W
104 = 2 (660) + 2W
W
104W = 1320 + 2 W²
-2W² + 104W = 1320
solve W using quadratic equation:
W = 22 m; ( 30 m = L)
plugin W=22 into L = 660 / W to solve L:
L = 660 / 22
L = 30 m
Of the 50 states in the United States, 14 have an Atlantic Ocean coastline and 5 have a Pacific Ocean coastline. What fraction of U.S. states have neither an Atlantic Ocean nor Pacific Ocean coastline?
Answer:
[tex]\frac{31}{50}[/tex]
Step-by-step explanation:
First, find how many have an Atlantic or Pacific coastline:
14 + 5
= 19
Then, subtract this from 50:
50 - 19
= 31
This means 31 out of the 50 states have neither coastlines:
This is [tex]\frac{31}{50}[/tex] as a fraction
Lisa is decorating the outside edge of a square picture frame. She needs to know the side length of the frame. The area of the frame is mm square inches. Which shows the side length, in inches, of the picture frame?
Answer:
Step-by-step explanation:
If you have the area just divide it by 4 and that will give you the answer .
A square has all equal sides
-24-8p=4p
help please
Answer:
-2 = p
Step-by-step explanation:
-24-8p=4p
Add 8p to each side
-24-8p+8p=4p+8p
-24 = 12p
Divide each side by 12
-24/12 = 12p/12
-2 = p
vince has 1/2 ton of gravel to spread equally in 8 square yards for his driveway. How many tons of gravel will be spread in each square yard?
Answer:
It would be 125 spread in each square yard.
Step-by-step explanation:
Find the coordinates of the midpoint of a segment with the endpoints (2,8) and (8,0).
Answer:
[tex]MP= (5,4)[/tex]
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )[/tex]
[tex]MP= (\frac{2+8}{2} )(\frac{8+0}{2} )[/tex] 2+8=10 8+0=8
[tex]MP= (\frac{10}{2} )(\frac{8}{2})[/tex] 10/2=5 8/2=4
[tex]MP= (5,4)[/tex]
7(1 - 2n) < 33 - n
solve the inequality
show work
Answer:
n > -2
Step-by-step explanation:
7(1 - 2n) < 33 - n
7 - 14n < 33 - n
Subtract 7
-14n < 26 - n
Add n
-13n < 26
Divide by -13
n > -2
Answer:
n > -2
Step-by-step explanation:
Distribution property:
7 - 14n < 33 - n
Bring n over:
7 - 13n < 33
Bring 7 over:
-13n < 26
n > -2
Which could be used to evaluate the expression Negative 6 (4 and two-thirds)? (Negative 6) (4) + (negative 6) (two-thirds) (Negative 6) (4) times (negative 6) (two-thirds) (Negative 6 + 4) + (Negative 6 + two-thirds) (Negative 6 + 4) times (negative 6 + two-thirds)
Answer:
(Negative 6) (4) + (negative 6) (two-thirds
20 lbs of bananas cost $100. How many lbs of bananas can you get with $85 ?
Answer:
$17
Step-by-step explanation:
Step 1:
20 : 100 = x : 85
Step 2:
100x = 1700
Answer:
x = 17
Hope This Helps :)
Answer:
$100= 20lbs
$1= (20/100)lbs
$85= 85*(20/100)lbs
= 85(1/5)lbs
= 17 lbs
If LN=54 and LM= 31, find MN
Answer:
If the overall diagram is 54 and one section of that whole diagram is 31 all we have to do is subtract the overall to the one section to find the other section.
Step-by-step explanation:
So...
54-31=23
Solve -5< 4x +3 < 7.
The second “<“ has a line under it. Please help! This is on APEX.
Answer:
C -2 < x ≤ 1
Step-by-step explanation:
-5< 4x +3 ≤ 7
Subtract 3 from all sides
-5-3< 4x +3-3 ≤ 7-3
-8< 4x ≤ 4
Divide all sides by 4
-8/4< 4x/4 ≤ 4/4
-2 < x ≤ 1
0.5s +1=7 + 4.5s
S =
Answer:
[tex]s = -\frac{3}{2}[/tex]
Step-by-step explanation:
Solve for the value of [tex]s[/tex] :
[tex]0.5s + 1 = 7 + 4.5s[/tex]
-Combine both [tex]0.5s[/tex] and [tex]4.5s[/tex] by subtracting [tex]0.5s[/tex] by [tex]4.5s[/tex] :
[tex]0.5s + 1 - 4.5s = 7 + 4.5s - 4.5s[/tex]
[tex]-4s + 1 = 7[/tex]
-Subtract [tex]1[/tex] to both sides:
[tex]-4s + 1 - 1 = 7 - 1[/tex]
[tex]-4s = 6[/tex]
-Divide both sides by [tex]-4[/tex] :
[tex]\frac{-4s}{-4} = \frac{6}{-4}[/tex]
[tex]s = -\frac{3}{2}[/tex]
So, the value of [tex]s[/tex] is [tex]-\frac{3}{2}[/tex].
Eliza's backpack weighs 18 and StartFraction 7 over 9 EndFraction pounds with her math book in it. Without her math book, her backpack weighs 14 and StartFraction 7 over 8 EndFraction pounds. How much does Eliza's math book weigh?
its B sorry if Im wrong have a nice day
Aaron wants to make as many gluten-free, low-carb cupcakes as he can for a bake sale. His recipe for 12 such cupcakes requires ⅜ of a cup of cocoa. Assuming Aaron has enough of the remaining ingredients, which of the following is closest to the number of cupcakes that he could make if he has 2 cups of cocoa? A)10 B)30 C)60 D)100
Answer:
I believe it is C
Step-by-step explanation:
First, I decided to use the proportion method. (Before I use this method, let's change [tex]\frac{3}{8}[/tex] into a decimal. So, that will be 0.375.
We know that we can cross multiply in a proportion
[tex]\frac{0.375 cups}{12 cupcakes} = \frac{2cups}{x}[/tex]
0.375x = 24
x = 64
round to tens
60
The number of cupcakes that he could make if he has 2 cups of cocoa is C) 60.
What is proportion?A proportion is an equation in which two ratios are set equal to each other.
Now, it is given that,
12 such cupcakes requires ⅜ of a cup of cocoa
So ratio, cup of cocoa : cupcakes = ⅜ : 12
⇒ cup of cocoa / cupcakes = ⅜ / 12
Now, let x be the number of cupcakes that he could make if he has 2 cups of cocoa
So ratio,cups of cocoa : number of cupcakes = 2 : x
Hence,By proportionality we get,
cup of cocoa : cupcakes = cup of cocoa : cupcakes
⅜ : 12 = 2 : x
⅜ / 12 = 2 / x
⇒ 0.375/12 = 2 / x
⇒ x = (2x12)/0.375
⇒ x = 24/0.375
⇒ x = 64
hence it is closest to the number 60.
So,The number of cupcakes that he could make if he has 2 cups of cocoa is C) 60.
More about proportion :
https://brainly.com/question/27960888
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the ratio of men to women is 3:4 and the ratio of women to children is 5:2. write the ratio of men to women to children
Answer:
15:20:8
Step-by-step explanation:
You have to find a common factor between 4 and 5 because there are 3 men to 4 women and 5 women for 2 children, those numbers don't directly correlate. The easiest waay would be to multiply 4 and 5.
4 x 5 = 20
So we can correct the first ratio.
3 X 5 = 15
So the ratio of men to women is 15:20.
Now we find the ratio of women to children.
4 x 5 = 20
4 x 2 = 8
The ratio of women to children is 20:8.
Now that we have the same number in each ratio for women, we can combine them.
The ratio of men to women to children is:
15:20:8
A cupcake shop earns $950 a day. The total amount of earning varies directly with the number of
days. Find the total earnings the cupcake shop earns in 5 days.
the answer is $4750.
if it is 9:38 what time would it be a half and hour later
Answer:
If it was 9:38 it would be 10:08
Step-by-step explanation:
Adding 30 to 38 would be 68. And since an hour is only 60 minuets long you would change the hour to 10 and add the 8 minuets.
Hope this helped! :))